Permutation and Combination Calculator

Calculate permutations (order matters) and combinations (order does not).

Total items (n)Chosen (r)

How the Permutation and Combination Calculator works

If rearranging the winners changes the outcome, it is a permutation. A lottery draw is a combination; a race podium is a permutation.

P(n,r) = n! ÷ (n−r)! · C(n,r) = n! ÷ (r!(n−r)!).